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21092012064 = 2533171436003
BaseRepresentation
bin10011101001001011…
…101001000000100000
32000102221100020012000
4103221023221000200
5321144023341224
613404535004000
71344452100354
oct235113510040
960387306160
1021092012064
118a43988932
124107809600
131cb19bc816
141041345464
15836a750c9
hex4e92e9020

21092012064 has 96 divisors (see below), whose sum is σ = 65137141440. Its totient is φ = 6617097216.

The previous prime is 21092012063. The next prime is 21092012077. The reversal of 21092012064 is 46021029012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21092012063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703314 + ... + 732689.

It is an arithmetic number, because the mean of its divisors is an integer number (678511890).

Almost surely, 221092012064 is an apocalyptic number.

21092012064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21092012064 is an abundant number, since it is smaller than the sum of its proper divisors (44045129376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21092012064 is a wasteful number, since it uses less digits than its factorization.

21092012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436039 (or 1436025 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 21092012064 in words is "twenty-one billion, ninety-two million, twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 1436003 2872006 4308009 5744012 8616018 11488024 12924027 17232036 22976048 24412051 25848054 34464072 38772081 45952096 48824102 51696108 68928144 73236153 77544162 97648204 103392216 137856288 146472306 155088324 195296408 206784432 219708459 292944612 310176648 390592816 413568864 439416918 585889224 620353296 659125377 781185632 878833836 1171778448 1240706592 1318250754 1757667672 2343556896 2636501508 3515335344 5273003016 7030670688 10546006032 21092012064